Question

To Stretch A Spring 5.00 Cm From Its Unstretched Length, 14.0 J Of Work Must Be Done .

A. What is the force constant of this spring?
B. What magnitude force is needed to stretch the spring 5.00 cm from its unstretched length?
C. How much work must be done to compress this spring 4.00 cm from its unstretched length?
D. What force is needed to stretch it this distance?

Answer 1

The force constant of the spring is 112 N/m.

Step-by-step explanation:

To find the force constant of the spring, we can use the formula for the work done by the spring force:

Work = (1/2) * k * x^2

Where:

k is the force constant of the spring

x is the displacement of the spring from its equilibrium position

We are given that a work of 14.0 J is done to stretch the spring 5.00 cm from its unstretched length. Plugging in the values into the formula:

14.0 J = (1/2) * k * (0.05 m)^2

Simplifying the equation, we can solve for k:

k = (2 * 14.0 J) / (0.05 m)^2 = 112 N/m

Therefore, the force constant of the spring is 112 N/m.